Power-law versus log-law in wall-bounded turbulence: A large-eddy simulation perspective

Handle URI:
http://hdl.handle.net/10754/552282
Title:
Power-law versus log-law in wall-bounded turbulence: A large-eddy simulation perspective
Authors:
Cheng, W.; Samtaney, Ravi ( 0000-0002-4702-6473 )
Abstract:
The debate whether the mean streamwise velocity in wall-bounded turbulent flows obeys a log-law or a power-law scaling originated over two decades ago, and continues to ferment in recent years. As experiments and direct numerical simulation can not provide sufficient clues, in this study we present an insight into this debate from a large-eddy simulation (LES) viewpoint. The LES organically combines state-of-the-art models (the stretched-vortex model and inflow rescaling method) with a virtual-wall model derived under different scaling law assumptions (the log-law or the power-law by George and Castillo [“Zero-pressure-gradient turbulent boundary layer,” Appl. Mech. Rev.50, 689 (1997)]). Comparison of LES results for Re θ ranging from 105 to 1011 for zero-pressure-gradient turbulent boundary layer flows are carried out for the mean streamwise velocity, its gradient and its scaled gradient. Our results provide strong evidence that for both sets of modeling assumption (log law or power law), the turbulence gravitates naturally towards the log-law scaling at extremely large Reynolds numbers.
KAUST Department:
Physical Sciences and Engineering (PSE) Division
Citation:
Power-law versus log-law in wall-bounded turbulence: A large-eddy simulation perspective 2014, 26 (1):011703 Physics of Fluids
Journal:
Physics of Fluids
Issue Date:
29-Jan-2014
DOI:
10.1063/1.4862919
Type:
Article
ISSN:
1070-6631; 1089-7666
Additional Links:
http://scitation.aip.org/content/aip/journal/pof2/26/1/10.1063/1.4862919
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorCheng, W.en
dc.contributor.authorSamtaney, Ravien
dc.date.accessioned2015-05-05T08:49:14Zen
dc.date.available2015-05-05T08:49:14Zen
dc.date.issued2014-01-29en
dc.identifier.citationPower-law versus log-law in wall-bounded turbulence: A large-eddy simulation perspective 2014, 26 (1):011703 Physics of Fluidsen
dc.identifier.issn1070-6631en
dc.identifier.issn1089-7666en
dc.identifier.doi10.1063/1.4862919en
dc.identifier.urihttp://hdl.handle.net/10754/552282en
dc.description.abstractThe debate whether the mean streamwise velocity in wall-bounded turbulent flows obeys a log-law or a power-law scaling originated over two decades ago, and continues to ferment in recent years. As experiments and direct numerical simulation can not provide sufficient clues, in this study we present an insight into this debate from a large-eddy simulation (LES) viewpoint. The LES organically combines state-of-the-art models (the stretched-vortex model and inflow rescaling method) with a virtual-wall model derived under different scaling law assumptions (the log-law or the power-law by George and Castillo [“Zero-pressure-gradient turbulent boundary layer,” Appl. Mech. Rev.50, 689 (1997)]). Comparison of LES results for Re θ ranging from 105 to 1011 for zero-pressure-gradient turbulent boundary layer flows are carried out for the mean streamwise velocity, its gradient and its scaled gradient. Our results provide strong evidence that for both sets of modeling assumption (log law or power law), the turbulence gravitates naturally towards the log-law scaling at extremely large Reynolds numbers.en
dc.relation.urlhttp://scitation.aip.org/content/aip/journal/pof2/26/1/10.1063/1.4862919en
dc.rightsArchived with thanks to Physics of Fluidsen
dc.titlePower-law versus log-law in wall-bounded turbulence: A large-eddy simulation perspectiveen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalPhysics of Fluidsen
dc.eprint.versionPublisher's Version/PDFen
kaust.authorCheng, Wanen
kaust.authorSamtaney, Ravien
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